It sounds like you just had a bad math teacher. The Pythagorean Theorem has quite a few proofs, a number of which are understandable to students with only basic geometry knowledge. I'm almost certain I had to prove it in my math class at the time.
Re:How Old Is The Shepherd?
by tedsanders on Wednesday December 04, 2013 @01:37PM
(#6849021)
I think students (who are themselves a product of their parents and their culture) are also part of the problem. When students don't try, they fall behind, and when they fall behind, they have no choice but to make silly guesses.
Math in USA is taught like religion, you have to believe what you are told, and god save you if you ask for proof. I remember in School we were reviewing Pythagoras Theorem. I asked the teacher to explain why it worked. She proceeded to draw on paper a triangle with sides of 3 and 4 inches, and then measured the long side, and said ‘see,’ with a very proud tone in her voice. When I asked if there is any more definitive proof, she replied that “it’s a theorem, there is no proof, that’s just the way it is.”
I spent the first 6 grades of my education in Ukraine, admittedly in the communist equivalent of prep schools. There we were given math problems, and we were expected to solve them OR prove that they were unsolvable. At least one problem on every test was unsolvable, and they actually expected you to provide proof. My experience with college level math on US was the same, the teachers were smart and taught well. But Middle School and High School level math in USA is pathetic, in my experience.